Are there any Notorious Monsters in Abyssea you're particularly interested in killing, or just wondering some that you could fight on your own? If it's the latter, the Iron Giant in Vunkerl can be kite killed easily enough with some movement speed on your part. Just bring it down into the Bastion area and kite it around that area. Ceps-Kamuy and Cirein-croin in Misareaux can also be soloed pretty easily as /Rdm since they're susceptible to Gravity and can be kited above the bridge where the Flytraps are (near where the Sacrarium zone is in normal Misareaux).